The block graph of a finite group
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DOI: 10.1007/s11856-021-2192-3
Abstract: This paper studies intersections of principal blocks of a finite group with respect to different primes. We first define the block graph of a finite group $G$, whose vertices are the prime divisors of $|G|$… read more here.
Keywords: block graph; graph finite; group; finite group ... See more keywords
Erratum: Vertex connectivity of the power graph of a finite cyclic group II
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DOI: 10.1142/s0219498820920012
Abstract: We retract [1, Lemma 3.4] as the statement is incorrect. In consequence, we correct the statements of Theorems 1.2 and 4.5 and their proofs. read more here.
Keywords: graph finite; erratum vertex; vertex connectivity; connectivity power ... See more keywords
On normal graph of a finite group
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DOI: 10.2298/fil1811047a
Abstract: Suppose G is a finite group and C(G) denotes the set of all conjugacy classes of G. The normal graph of G, N(G), is a finite simple graph such that V(N(G)) = C(G). Two conjugacy… read more here.
Keywords: normal graph; graph finite; group; finite group ... See more keywords
On r-Noncommuting Graph of Finite Rings
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DOI: 10.3390/axioms10030233
Abstract: Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if… read more here.
Keywords: noncommutative rings; graph finite; noncommuting graph; graph ... See more keywords